Expand using identities:
${(3 x - 5 y)}^{2}$

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Solution

$(3 x - 5 y)^{2} = (3 x - 5 y) (3 x - 5 y)$
$= (3 x)^{2} - 2.3 x .5 y + (5 y)^{2}$
$= 9 x^{2} - 30 x y + 25 y^{2}$
$∴ (3 x - 5 y)^{2} = 9 x^{2} - 30 x y + 25 y^{2}$

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